What is the answer to 2\sqrt[3]{2x+1}=x^3-1 ?

The answer to 2\sqrt[3]{2x+1}=x^3-1 is x=-1,x\approx-0.61803…,x\approx 1.61803…

Solve for x: 2\sqrt[3]{2x+1}=x^3-1

The solution is x=-1,x\approx-0.61803…,x\approx 1.61803…

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Popular >

x = - 1, x \approx - 0.61803 \dots, x \approx 1.61803 \dots

Solution steps

Take both sides of the equation to the power of

3 : 16 x + 8 = x^{9} - 3 x^{6} + 3 x^{3} - 1

16 x + 8 = x^{9} - 3 x^{6} + 3 x^{3} - 1

Solve

16 x + 8 = x^{9} - 3 x^{6} + 3 x^{3} - 1 : x = - 1, x \approx - 0.61803 \dots, x \approx 1.61803 \dots

x = - 1, x \approx - 0.61803 \dots, x \approx 1.61803 \dots

Verify Solutions:

x = - 1

True

, x \approx - 0.61803 \dots

True

, x \approx 1.61803 \dots

True

The solutions are

x = - 1, x \approx - 0.61803 \dots, x \approx 1.61803 \dots

- 5 = x - 5

x + 3 + 4 x + 12 = 5

(4 x) - 1 = x + 3

x - 2 = 15 x + 4

3 a^{2} = - a 3

What is the answer to 2\sqrt[3]{2x+1}=x^3-1 ?
The answer to 2\sqrt[3]{2x+1}=x^3-1 is x=-1,x\approx-0.61803…,x\approx 1.61803…
Solve for x: 2\sqrt[3]{2x+1}=x^3-1
The solution is x=-1,x\approx-0.61803…,x\approx 1.61803…